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cs.IT2026
New perspectives for code locality in the rank metric
Camille Garnier, Julien Lavauzelle, Jade Nardi +1
In coding theory, local recovery enables the efficient recovery of some part of (lost) coded data by accessing only a small number of other data entries. Locality was mostly but in…
cs.IT2026
Structure of weighted projective Reed-Muller codes
Jade Nardi, Rodrigo San-José
We provide a comprehensive overview of the fundamental structural properties of weighted projective Reed-Muller codes. We give a recursive construction for these codes, under some…
math.NT2026
A computational approach to Drinfeld modules
Cécile Armana, Elena Berardini, Xavier Caruso +3
This survey provides a practical and algorithmic perspective on Drinfeld modules over . Starting with the construction of the Carlitz module, we present Drinfeld mo…